Question

A shop keeper sells an article for Rs 522, thus earning a profit of 16%. What is its cost price ?​

Answer 1

Answer:

450

Step-by-step explanation:

cp=100/116××522=450

Answer 2

$\large\sf\underline{Understanding\:the\:question\::}$

Here we are given the Selling price ( SP ) of an article as Rs 522 and Profit percentage as 16% . We are asked to find the Cost Price ( CP ) of the article. In order to solve this question we will simply use the formula for CP. So let's begin !

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$\large\sf\underline{Given\::}$

• SP = Rs 522

• Profit percentage = 16%

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$\large\sf\underline{To\:find\::}$

• Cost Price ( CP ) of the article.

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$\large\sf\underline{Solution\::}$

We know that,

$\small{\underline{\boxed{\mathrm\pink{CP\:=\:\frac{SP \times 100}{100 + Profit\:percentage}}}}}$

• Substituting the given value in the formula

$\sf\implies\:CP\:=\frac{522 \times 100}{100 + 16}$

$\sf\implies\:CP\:=\frac{52200}{116}$

$\sf\implies\:CP\:=\cancel{\frac{52200}{116}}=\cancel{\frac{26100}{58}}=\cancel{\frac{13050}{29}}=450$

$\large{\mathfrak\red{\implies\:CP\:=\:Rs\:450}}$

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!! Hope it helps !!